100122111000001 has 2 divisors, whose sum is σ = 100122111000002. Its totient is φ = 100122111000000.

The previous prime is 100122110999983. The next prime is 100122111000047. The reversal of 100122111000001 is 100000111221001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 73879594664976 + 26242516335025 = 8595324^2 + 5122745^2 .

It is a cyclic number.

It is not a de Polignac number, because 100122111000001 - 2⁵ = 100122110999969 is a prime.

It is a super-2 number, since 2×100122111000001² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100122111060001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50061055500000 + 50061055500001.

It is an arithmetic number, because the mean of its divisors is an integer number (50061055500001).

Almost surely, 2^{100122111000001} is an apocalyptic number.

It is an amenable number.

100122111000001 is a deficient number, since it is larger than the sum of its proper divisors (1).

100122111000001 is an equidigital number, since it uses as much as digits as its factorization.

100122111000001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100122111000001 its reverse (100000111221001), we get a palindrome (200122222221002).

The spelling of 100122111000001 in words is "one hundred trillion, one hundred twenty-two billion, one hundred eleven million, one", and thus it is an aban number.